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MATH / A math textbook with a double-digit number of pages is split into sections. Each…

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problem

A math textbook with a double-digit number of pages is split into sections. Each section is exactly 1212 pages long, with the exception of the epilogue, which is 1111 pages long. Every page belongs to a section. Furthermore, on the bottom of each 55th page, a trivia fact is presented on the bottom of the page, starting from the fifth page. If a trivia fact appears on the bottom of the second-to-last page, then how many pages does the textbook have?
Plain-text mathematical notation (without MathML)
A math textbook with a double-digit number of pages is split into sections. Each section is exactly 12 pages long, with the exception of the epilogue, which is 11 pages long. Every page belongs to a section. Furthermore, on the bottom of each 5th page, a trivia fact is presented on the bottom of the page, starting from the fifth page. If a trivia fact appears on the bottom of the second-to-last page, then how many pages does the textbook have?
Original LaTeX notation
A math textbook with a double-digit number of pages is split into sections. Each section is exactly $12$ pages long, with the exception of the epilogue, which is $11$ pages long. Every page belongs to a section. Furthermore, on the bottom of each $5$th page, a trivia fact is presented on the bottom of the page, starting from the fifth page. If a trivia fact appears on the bottom of the second-to-last page, then how many pages does the textbook have?

level

Level 4

type

Number Theory

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Source and history

task_id
63197876-d027-5904-b881-95e87d6ec998
task_key
number~5ftheory--test--63197876-d027-5904-b881-95e87d6ec998
task_revision_id
1
config / split
number_theory / test

Official source

initial import